Asymptotic properties of infinite Leslie matrices.
The stable population theory is classically applicable to populations in which there is a maximum age after which individuals die. Demetrius [1972. On an infinite population matrix. Math. Biosci. 13, 133-137] extended this theory to infinite Leslie matrices, in which the longevity of individuals is potentially infinite. However, Demetrius had to assume that the survival probability per time step tends to 0 with age. We generalise here the conditions of application of the stable population theory to infinite Leslie matrix models and apply these results to two examples, including or not senescence.
Gosselin
Frédéric
F
Centre d'Ecologie Fonctionnelle et Evolutive, CNRS, CEFE, Montpellier Cedex 5, France.
Lebreton
Jean-Dominique
JD
D017677:Age Distribution; D006801:Humans; D008136:Longevity; D008954:Models, Biological; D011158:Population Growth; D012098:Reproduction; D015996:Survival Rate